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antoniya [11.8K]
3 years ago
12

What is the value for s?

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0
The correct answer is 35 degrees
expeople1 [14]3 years ago
3 0

Answer:

s = 35 degrees

Step-by-step explanation:

A triangle has to have a total of 180 degrees.

Step 1: add known angles

114+ 31 = 145

Step 2:  subtract sum from 180

180 - 145 = 35

s = 35 degrees

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In 2010, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephon
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<u>Answer</u>: No, we do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.

Step-by-step explanation:

As per given , we have

H_0: \mu=9.4\\\\H_a:\mu\neq9.4, since H_0 is two-tailed so , the test is a two tail test.

Since population standard deviation is unknown, so we use t-test.

Critical value (two-tailed) for significance level of 0.01= t_{n-1,\alpha/2}=t_{49, 0.005}\pm2.609228

For n =50 , \overline{x}=8.6 and s= 4.8

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

t=\dfrac{8.6-9.4}{\dfrac{4.8}{\sqrt{50}}}\approx-1.18

Since test statistic value (-1.18) lies in critical interval (-2.609228, 2.609228), it means the null hypothesis is failed to reject.

We do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.

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3 years ago
Write the summation to estimate the area under the curve y = 1 + x^2 from x = –1 to x = 2 using 3 rectangles and right endpoints
Minchanka [31]
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3 years ago
It was estimated that the United States would need 6200 more veterans in 2012. The percent error was 10%. If the estimate was lo
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-4 1/5+3 2/3+ -1 2/5
Paul [167]

Answer:

-1.9

Step-by-step explanation:

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8 0
3 years ago
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In the diagram, point C represents the center of the sphere. Diego says that the part of the sphere labeled D is the radius. Gre
Katen [24]

Answer:

Gregoire is correct; the diameter is a chord that passes through the center of the sphere.

Step-by-step explanation:

A sphere is a geometrical shape formed from a circle. Some of its parts are: diameter, center, radius circumference, etc.

The center of a sphere is a point at its middle. The diameter is a straight line, e.g a chord, that is drawn from one point on the circumference of a sphere to another point and passes through its center. While radius is a line that is from the center of the sphere to a point on its circumference.

A diameter is twice of a radius, so that:

                            Radius = \frac{Diameter}{2}

⇒                        Diameter = 2 × Radius

Therefore with respect to the question, Gregoire is correct because a diameter is a chord that passes through the center of the sphere.

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